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Finding the Fourth Proportional to 699.30, 966.30 and 533.24

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Solution

The fourth proportional to 699.30, 966.30 and 533.24 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.30 : 966.30 = 533.24 : x
  2. Step 2: Convert to fraction form
    699.30/966.30 = 533.24/x
  3. Step 3: Cross multiply
    699.30x = 966.30 × 533.24
  4. Step 4: Simplify right side
    699.30x = 515,269.81
  5. Step 5: Solve for x
    x = 515,269.81/699.30
  6. Step 6: Final answer
    x = 736.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.